In Chapter 2 (Exercise 16) we saw data on shoe sizes of students, reported in European sizes. For the men, the mean size was 44.65 with a standard deviation of 2.03. To convert euro shoe sizes to U.S. sizes for men, use the equation US size = Euro Size x 0.7865 - 24.
a) What is the mean men’s shoe size for these respondents in U.S. units?
b) What is the standard deviation in U.S. units?

Data From Exercise 16

A last is a form, traditionally made of wood, in the shape of the human foot. Lasts of various sizes are used by shoemakers to make shoes. In the United States, shoe sizes are defined differently for men and women:
U.S. men’s shoe size = (last size in inches x 3) – 24
U.S. women’s shoe size = (last size in inches x 3) – 22.5
But in Europe, they are both: Euro size = last size in cm x 3/2
Here is a histogram of the European shoe sizes of 269 college students (converted from their reported U.S. shoe sizes):

Transcribed Image Text:

Count 60 50 40 30 20 10 34 36 38 40 42 44 46 48 50 Shoe Size